*twenty points! ! *

if l||m and m∠6 = 4x - 15 and m∠7 = x + 30, then m∠6 =

a. 15

b. 35

c. 39

d. 45

d. 45°

Step-by-step explanation:

The angles are alternate interior angles, so they are equal in measure.  So

m∠6 = m∠7

so

4x - 15 = x + 30       now solve for x

  4x - x = 30 + 15              

   3x = 45

      x = 15

But 15 isn't the measure of angle 6, it's just the x value, so plug 15 in to solve for angle 6

m∠6 = 4(15) - 15

      m∠6 = 60 - 15 = 45°

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.